. Author manuscript; available in PMC: 2021 Jun 24.

Published in final edited form as: Int J Numer Method Biomed Eng. 2021 Feb 10;37(4):e3438. doi: 10.1002/cnm.3438

Table 1:

An example showing the five independent component values for a 4^th rank fabric tensor $D_{i_{1}, i_{2}, i_{3}, i_{4}}$ in terms of the associated Fourier series coefficients.

$D_{i_{1}, i_{2}, i_{3}, i_{4}}$	k	independent component
D₁₁₁₁	0	a₄
D₁₁₁₂	1	b₄
D₁₁₂₂	2	−a₄
D₁₂₂₂	3	−b₄
D₂₂₂₂	4	a₄